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Finding the Fourth Proportional to 3,788.76, 5,682.52 and 2,689.78

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Solution

The fourth proportional to 3,788.76, 5,682.52 and 2,689.78 is: 4,034.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.76 : 5,682.52 = 2,689.78 : x
  2. Step 2: Convert to fraction form
    3,788.76/5,682.52 = 2,689.78/x
  3. Step 3: Cross multiply
    3,788.76x = 5,682.52 × 2,689.78
  4. Step 4: Simplify right side
    3,788.76x = 15,284,728.65
  5. Step 5: Solve for x
    x = 15,284,728.65/3,788.76
  6. Step 6: Final answer
    x = 4,034.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.